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Finding the Fourth Proportional to 378.10, 565.80 and 345.70

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Solution

The fourth proportional to 378.10, 565.80 and 345.70 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.10 : 565.80 = 345.70 : x
  2. Step 2: Convert to fraction form
    378.10/565.80 = 345.70/x
  3. Step 3: Cross multiply
    378.10x = 565.80 × 345.70
  4. Step 4: Simplify right side
    378.10x = 195,597.06
  5. Step 5: Solve for x
    x = 195,597.06/378.10
  6. Step 6: Final answer
    x = 517.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.